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Bisectors of angles A ,\ B\ a n d\ C ...

Bisectors of angles `A ,\ B\ a n d\ C` of a triangle `A B C` intersect its circumcircle at `D ,\ E\ a n d\ F` respectively. Prove that the angles of ` D E F` are `90^0-A/2,\ 90^0-B/2a n d\ 90^0-C/2`

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